Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
type: Item
instance of: scholarly article
title: Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
zbMATH Open document ID: 0695.60016
DOI: 10.1016/0167-7152(90)90088-O
author: M. Ebneshahrashoob
author: Milton Sobel
published in: Statistics \& Probability Letters
publication date: 1990-01-01T00:00:00Z
review text: In a sequence of i.i.d. Bernoulli trials the following waiting times are considered: the waiting time till the sooner of s successes in total or r failures in total occurs (frequency quota); the waiting time for a run of s successes or a run of r failures whichever comes sooner (run quota); and the corresponding waiting times for whichever comes later. The means and variances of these waiting times are obtained by deriving their generalized probability generating functions in the run quota case, and by using Dirichlet integrals of type 2 in the frequency quota case.
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 60E10
zbMATH DE Number: 4138841
zbMATH Keywords: sooner or later problems
zbMATH Keywords: Dirichlet integral
zbMATH Keywords: Bernoulli trials
zbMATH Keywords: generalized probability generating functions
reviewed by: Toshio Mori
MaRDI profile type: Publication
cites work: On discrete distributions of order k
cites work: Q5635252
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full work available at URL: 0167-7152(90)90088-o
OpenAlex ID: W1975061404
description: scientific article; zbMATH DE number 4138841